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And/Or trees revisited Export

In in « Combinatorics, Probability and Computing », To appear, Vol. 27

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combinatorics

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We consider boolean functions over n variables. Any such function can be represented (and computed) by a complete binary tree with and or or in the internal nodes and a literal in the external nodes, and many different trees can represent the same function, so that a fundamental question is related to the so-called complexity of a boolean function: L(f) := minimal size of a tree computing f .


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